Topic
Quintic function
About: Quintic function is a research topic. Over the lifetime, 1677 publications have been published within this topic receiving 26780 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this paper, an approximate method is presented to determine the velocity of Rayleigh waves using least squares approximation to transform secular equations to quadratic equations, which is further generalized to deal with other secular equations including quartic, quintic, or sextic secular equations.
21 citations
21 citations
TL;DR: In this paper, the authors studied a differential algebra of modular-type functions attached to the periods of a one-parameter family of Calabi-Yau varieties which is mirror dual to the universal family of quintic threefolds.
Abstract: In this article we study a differential algebra of modular-type functions attached to the periods of a one-parameter family of Calabi–Yau varieties which is mirror dual to the universal family of quintic threefolds. Such an algebra is generated by seven functions satisfying functional and differential equations in parallel to the modular functional equations of classical Eisenstein series and the Ramanujan differential equation. Our result is the first example of automorphic-type functions attached to varieties whose period domain is not Hermitian symmetric. It is a reformulation and realization of a problem of Griffiths from the seventies on the existence of automorphic functions for the moduli of polarized Hodge structures.
21 citations
TL;DR: The selection of the required end conditions for the construction of integro quintic splines will be discussed and the numerical examples and computational results illustrate and guarantee a higher accuracy for this approximation.
21 citations
TL;DR: An existing planar Pythagorean hodograph (PH) quintic spiral, with zero curvature at one end, is generalised to form a two parameter family of PH quintic spirals to allow specification of an ending angle of tangent and curvature.
21 citations